# Quark Model Calculations of Nucleon Structure Functions

## Abstract

We present calculations of those structure functions of the nucleon which are measured in deep inelastic electron scattering. A quark model which preserves translational invariance is used. The model exhibits scaling and the structure functions satisfy the Callan-Gross relation in the scaling region. It is possible to fit the experimental values of F _{2} ^{p} (x)−F _{2} ^{p} (x) using wave functions that correspond to a relatively small region of confinement. The ratio of F _{2} ^{p} (x)/F _{2} ^{p} (x) is also calculated. One can explain the deviation of the value of the latter quantity from the value 2/3 obtained in the simplest quark model by allowing the neutron confinement radius to be about 10 percent larger than the corresponding proton radius.

## Keywords

Quark Model Parton Model Constituent Mass Proton Radius Quark Wave Function## Preview

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## References

- 1.For a review of the parton model, see F. E. Close, An Introduction to Quarks and Partons (Academic, New York, 1979). For a parton model calculation of structure functions in the proton rest frame, see J. Franklin, Nucl. Phys. B138, 122 (1978); Phys. Rev. D 16, 21 (1977).Google Scholar
- 2.R. L. Jaffe, Phys. Rev. D 11, 1953 (1975). See also, R. L. Jaffee, MIT Report CTP No. 1029, (1982) and references therein.CrossRefGoogle Scholar
- 3.L. S. Celenza and C. M. Shakin, Phys. Rev. C 27, 1561 (1983).CrossRefGoogle Scholar